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• W2058966811 abstract "We derive a new form for the matrix element of the two-particle mutual spin-orbit interaction in the Breit-Pauli approximation. The complexity of standard tensor-operator expansion techniques is obviated by suitably decomposing the mutual spin-orbit interaction into products of spin and orbital angular-momentum operators, whose matrix elements in the $l{m}_{i}s{m}_{s}$ scheme are obtained in a straightforward manner. Graphical representations are given for both the one- and two-particle spin-orbit interactions, thereby permitting the analytical evaluation by graphical techniques of the spin-orbit interaction between arbitrary configurations in any coupling scheme. The graphical procedure for evaluating these matrix elements is demonstrated for $mathrm{LS}$-coupled configurations having two nonequivalent electrons outside closed shells. Various properties of the two-particle mutual spin-orbit operator are easily illustrated using its graphical representation." @default.
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• W2058966811 date "1978-08-01" @default.
• W2058966811 modified "2023-10-16" @default.
• W2058966811 title "Graphical approach to the spin-orbit interaction" @default.
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• W2058966811 doi "https://doi.org/10.1103/physreva.18.354" @default.
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